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The Group pg

Generators: t1, t2, L
Relations: L2 = t1
Cell diagram: [Image]


Table: Three homomorphisms from pg
type P(k) = -1 wallpaper type of kernel group, with remarks
pg [Image] none pg, same as the extended group
pg' [Image] L p1
p'b1g [Image] t2 pg = {t22, L}; new negating glide
  L and t2 same as above, i(L) = L t2


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Communications in Visual Mathematics, vol 1, no 1, August 1998.
Copyright © 1998, The Mathematical Association of America. All rights reserved.
Created: 08 Jul 1998 --- Last modified: 18 Aug 1998 23:59:59
Comments to: CVM@maa.org